.MCAD 308000000 \  docDocumentImcObjectW d2_graph_format graphData! axisFormat%L%Ltrace2D""""""""" " " " " """ dim_formatPmasslengthtimecharge temperature luminosity substanceNumericalFormatMdii shpRectR3nwmcDocumentObjectStateX mcPageModelG?tڀ>L>A>mcHeaderFooterE@E CHeaderFooterF@F@F@FMbP?MbP? TextState; TextStyle:@ Arial MTSerial_ParPropDefaultS?Normalfont_style_listK font_styleL  VariablesTimes New Roman@L  ConstantsTimes New Roman@L TextArial MT@L Greek VariablesSymbol@L User^1Arial@L User^2 Courier New@L User^3System@L User^4Script@L User^5Roman@L User^6Modern@L User^7Times New Roman@L SymbolsSymbol@L Current Selection FontArial@L Undefined Font@L HeaderArial@L FooterArial@L Rotated Math FontTimes New Roman6 TextRegion& docRegionCshpBoxQx 8LxCC CharacterMap)RangeMap7@Least-Squares for the Method of Standard Additions ( Adapted from F. James Holler, "Mathcad Applications for Analytical Chemistry", by Manop Sittidech 2/16/00 ) ChrPropMap333 RangeElem83  ChrPropData4 RangeData9d Arial MT 8p 4  ParPropMap544 84  ParPropData6@S,8o6@S?  EmbedMap-8LinkMap+8LinkData,@NormalArial MT eqRegion>@QC2Y!Ptree < p< <dN.c<7>@QcSyp< p< <di<<t0<<dN.c <1!>@Qy# "< p#< "$<@#%<d$x&<$i'< #(< @')< @(*< @)+< @*,< @+-<t,0.<,5/<+100<*151<)202<(253<'304>@QXyyb5< p6< 57<@68<d7y9<7i:< 6;< @:<< @;=< @<>< @=?< @>@@<t?0.32@A<?0.41@B<>0.52@C<=0.60@D<<0.70@E<;0.77@F<:0.89@G&@Qzn`n`)A(Insert your own data here. Recall that x is the added quantity (or concentration) of analytem while y is the signal response. Remember to change N if you have a different number of points. Type comma to append more point in the table, or press Backspace key to delete data point in the table. 3(@H8(@I4@GiArial MT255,0,05(@J8@K6@S,@L8@M6@S?@J@L@L-@N8+(@O8(@P,@NormalArial MT @Q>@Ql+@R< p@S< @R@T<d@SS.xx@U<@S@V<@@U@W<d@Vi@X<@V@Y@Qlh @i< p@j< @i@k<d@jS.yy@l<@j@m<@@l@n<d@mi@o<@m@p@Qq( @< p@< @@<d@S.xy@<@@<@@@<d@i@<@@<@@@<d@x@<@i@<@@<d@y@<@i@<@@<@@@<d@i@<@@<@@@<d@x@<@i@<@@<d@i@<@@<d@y@<@i@<@N.c@>@Q#%@< p@< @@<d@m@<@@<d@S.xy@<@S.xx@>@QP_@< p@<@@<d@m@<@@<+@@Serial_DisplayNodeT@<@ _n_u_l_l_@>@QV--@< p@< @@<d@xbar@<@@<@@@<d@i@<@@<d@x@<@i@<@N.c@>@Qx-@< p@< @@<d@ybar.c@<@@<@@@<d@i@<@@<d@y@<@i@<@N.c@&@Q@+;@8xx)The slope of the line.35@8@6@S,-@8+@8@,@NormalArial MT @>@Q0+<q8@< p@<@@<@@@<d@slope@@QK{aX@< p@< @@<d@b@<@@<d@ybar.c@<@@<d@m@<@xbar@>@QK\X@< p@<@@<d@b@<@@<+@@@T@<@ _n_u_l_l_@&@QPcsPpZZ)The y-intercept.35@8@6@S,-@8+@8@,@NormalArial MT @>@Q(ct{p@< p@<@@<@@@<d@ intercept@@Q0zD@< p@< @@<d@s.r@<{@@<@@<@@@<d@S.yyA<@A<@AA<dAmA<A2A<AS.xxA<@A<dAN.cA<A2A>@Q=A < pA <A A <dA s.rA <A A <+@A @TA<A _n_u_l_l_A&@QY )$The standard deviation of the slope.3$5$A8$A6@S,-A8+$A8$A,@NormalArial MT A>@Q0tI A< pA< AA<dAs.mA<{AA<AA<@AA<dAs.rA<A2A<AS.xxA>@Q@HBgA < pA!<A ..A">@Q\!A#< pA$<A#A%<dA$s.mA&<A$A'<+@A&@TA(<A& _n_u_l_l_A)&@QY" )(The standard deviation of the intercept.3(5(A*8(A+6@S,-A,8+(A-8(A.,@NormalArial MT A/>@Q0wG#A0< pA1< A0A2<dA1s.bA3<A1A4<dA3s.rA5<{A3A6<A5A7<tA61A8<A6A9<dA8N.cA:<A8A;<@A:A<<dA=iA?<A=A@<dA?xAA<A?iAB<A;2AC<A:AD<dACiAE<ACAF@Q6ZQH%AL< pAM<ALAN<dAMs.bAO<AMAP<+@AO@TAQ<AO _n_u_l_l_AR&@Q  * )4The standard deviation of the calculated value of x.3454AS84AT6@S,-AU8+4AV84AW,@NormalArial MT AX>@Q0F+AY< pAZ< AYA[<dAZs.cA\<AZA]<@A\A^<dA]s.rA_<A]mA`<{A\Aa<A`Ab<@AaAc<tAb1Ad<AbN.cAe<AaAf<@AeAg@Q0oE-Ap< pAq<ApAr<dAqs.cAs<AqAt<+@As@TAu<As _n_u_l_l_Av&@QXX.)The calculated value of x.35Aw8Ax6@S,-Ay8+Az8A{,@NormalArial MT A|>@Q0[E/A}< pA~< A}A<dA~x.cA<A~A<dAbA<AmA>@Q0A< pA<AA<dAx.cA<AA<+@A@TA<A _n_u_l_l_A>@Q@#q4J0A< pA< AA<dAjA<AA<tA1A<A15A>@Q!U8A< pA< AA<@AA<dAt95A<AjA< AA< @AA< @AA< @AA< @AA< @AA< @AA< @AA< @AA< @AA< @AA< @AA< @AA< @AA<tA12.7A<A4.30A<A3.18A<A2.78A<A2.57A<A2.45A<A2.36A<A2.31A<A2.26A<A2.23A<A2.20A<A2.18A<A2.16A<A2.14A<A1.96A&@Q [) h $ $). The number of degree of freedom here is Nc-2 3-.A8A4AiArial MT255,0,0A8)A4AiArial MT0,0,0AA8A4AIArial MT0,0,0AA8A4AiArial MT0,0,0AA8A4AiArial MT255,0,0AAA5.A8.A6@S-A8A EmbedData.EmbedObj/A EmbedObjPtr0+.A8.A,@NormalArial MT A>@Q8ktCxA< pA< AA<dAfA<AA<dAN.cA<A2A>@Q8ZA< pA< AA<dAs.c95A<AA<dAs.cA<AA<dAt95A<AfA&@Q(.(}&&)@HThe uncertainty for the calculated value of  at 95% confidence limits3.-HA8-A4AA8A4A?AA8A4AAAA5HA8HA6@S-A8A.- /A0A>@Q*#OA< pA<Ax.+HA8HA,@NormalArial MT A>@Q8YA< pA<AA<dAs.c95A<AA<+@A@TA<AA&@QPTPoV) 35A8A6@S-A8A./A0+A8A,@NormalArial MT A>@Q(N1A< pA< AA<@AA<dAycalcA<AiA<AA<dAbA<AA<dAmB<AB<dBxB<BiB&@Q2 )2Predicted values of y from the least-squares line.3252B82B6@S,-B8+2B82B,@NormalArial MT B >@Q( !\3B < pB < B B <@B B <dB residualB<B iB<B B<@BB<dByB<BiB@Q@+tD85B$< pB%<B$B&<@B%B'<dB&yB(<B&iB)<B%B*<@B)B+<@B*B,<5B*B-<<@B,B. 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